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10242310134321 = 322360798139457
BaseRepresentation
bin1001010100001011100101…
…0000011101101000110001
31100021011012012111110100200
42111002321100131220301
52320302222343244241
633441130300105413
72104660664452506
oct225027120355061
940234165443320
1010242310134321
113299815066381
121195040b35269
13593acc00cb25
14275a325274ad
1512b65cac34b6
hex950b941da31

10242310134321 has 24 divisors (see below), whose sum is σ = 15440226247680. Its totient is φ = 6530252990976.

The previous prime is 10242310134281. The next prime is 10242310134323. The reversal of 10242310134321 is 12343101324201.

10242310134321 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 2 + 310 + 1 + 343 + 2 + 1 = 666.

It is not a de Polignac number, because 10242310134321 - 223 = 10242301745713 is a prime.

It is a super-2 number, since 2×102423101343212 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10242310134323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2811376 + ... + 5328081.

It is an arithmetic number, because the mean of its divisors is an integer number (643342760320).

Almost surely, 210242310134321 is an apocalyptic number.

It is an amenable number.

10242310134321 is a deficient number, since it is larger than the sum of its proper divisors (5197916113359).

10242310134321 is a wasteful number, since it uses less digits than its factorization.

10242310134321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8145565 (or 8145562 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10242310134321 its reverse (12343101324201), we get a palindrome (22585411458522).

The spelling of 10242310134321 in words is "ten trillion, two hundred forty-two billion, three hundred ten million, one hundred thirty-four thousand, three hundred twenty-one".

Divisors: 1 3 9 23 69 207 6079 18237 54711 139817 419451 1258353 8139457 24418371 73255113 187207511 561622533 1684867599 49479759103 148439277309 445317831927 1138034459369 3414103378107 10242310134321